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  • 标题:Global stability of a delayed and diffusive virus model with nonlinear infection function
  • 本地全文:下载
  • 作者:Yan Geng ; Jinhu Xu
  • 期刊名称:Journal of Biological Dynamics
  • 印刷版ISSN:1751-3758
  • 电子版ISSN:1751-3766
  • 出版年度:2021
  • 卷号:15
  • 期号:1
  • 页码:287-307
  • DOI:10.1080/17513758.2021.1922770
  • 出版社:Taylor & Francis
  • 摘要:This paper studies a delayed viral infection model with diffusion and a general incidence rate. A discrete-time model was derived by applying nonstandard finite difference scheme. The positivity and boundedness of solutions are presented. We established the global stability of equilibria in terms of R 0 by applying Lyapunov method. The results showed that if R 0 is less than 1, then the infection-free equilibrium E 0 is globally asymptotically stable. If R 0 is greater than 1, then the infection equilibrium E ∗ is globally asymptotically stable. Numerical experiments are carried out to illustrate the theoretical results.
  • 关键词:Diffusion ; nonlinear incidence ; delay ; Lyapunov method ; global stability
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